Title :
A new method of aggregation of fuzzy number based on the dempster/shafer theory
Author :
Kang, Bing Yi ; Zhang, Ya Juan ; Deng, Xin Yang ; Wu, Ji Yi ; Sun, Xiao Hong ; Deng, Yong
Author_Institution :
Sch. of Comput. & Inf. Sci., Southwest Univ., Chongqing, China
Abstract :
There exists lots of fuzzy and imprecise information with the development of society and technology. How to combine and evaluate these information becomes significant. This paper takes the proportion of the membership function values into consideration and makes use of each interval area value compared with the whole area of fuzzy number to measure the distribution of the membership function values. A triangular membership function was used to represent the fuzzy numbers. Then, the BPA of each point selected can be gained through multiplying the membership function values with their proportion respectively. At last, the D/S Theory was used to aggregate the fuzzy numbers. Through an instance, we get an acceptable result.
Keywords :
fuzzy set theory; inference mechanisms; uncertainty handling; BPA; Dempster theory; Shafer theory; fuzzy number; fuzzy number aggregation; interval area value; membership function; triangular membership function; Aggregates; Approximation methods; Area measurement; Cognition; Educational institutions; Fuzzy set theory; Uncertainty; BPA; D/S theory; fuzzy number;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968530